Simple Harmonic Motion
Physics ⇒ Mechanics
Simple Harmonic Motion starts at 11 and continues till grade 12.
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See sample questions for grade 12
A 2 kg mass attached to a spring executes SHM with a force constant of 50 N/m. Find the period of oscillation.
A block attached to a spring oscillates with a period of 2 s. What is its frequency?
A mass of 0.5 kg is attached to a spring with a force constant of 200 N/m. What is the angular frequency of the resulting SHM?
A mass-spring system oscillates with amplitude A. At what displacement from the mean position is the kinetic energy equal to the potential energy?
A particle in SHM has a displacement given by x = 0.05 sin(10t) m. What is its maximum speed?
A particle in SHM has a period of 4 s. How many oscillations does it complete in 20 s?
A simple pendulum has a length of 1 m. Calculate its period on Earth (g = 9.8 m/s²).
A spring-mass system has a total energy of 2 J and an amplitude of 0.5 m. What is the force constant of the spring?
If the amplitude of a simple harmonic oscillator is doubled, by what factor does its maximum kinetic energy change?
If the displacement of a particle in SHM is zero, what can you say about its kinetic and potential energies?
If the frequency of a simple harmonic oscillator is 5 Hz, what is its angular frequency?
The displacement of a particle in SHM is given by x = A sin(ωt). What is the expression for its velocity as a function of time?
The displacement x of a particle in SHM is given by x = A cos(ωt + φ). What does the symbol φ represent?
The equation of motion for a particle in SHM is x = 0.1 cos(5t + π/4) m. What is the amplitude of the motion?
